Preemptive scheduling of independent jobs on parallel machines subject to financial constraints

The paper deals with the preemptive scheduling of independent jobs on parallel unrelated machines with the use of additional renewable resources (manpower, facilities) and the consumption of a nonrenewable resource (money). Money becomes available at different dates in specified amounts (financial constraints). Two scheduling criteria are considered: schedule length and total cost. The algorithm consists in solving a parametric linear program and using its results to construct a most satisfactory schedule in polynomial time. The reduction of job preemptions in a feasible schedule is considered.